If the terminal ray of an angle passes through (-5, -3), that means it passes through x coordinate -5 and y coordinate -3. Both x and y are negative in only one quadrant and that is the third one. If we plot the point (-5, -3) in the coordinate plane in Q3, and then draw a vertical line to connect that point to the negative x axis and then draw a line to connect that point to the origin, what we have created is right triangle with a base of -5 and a height of -3. The tangent ratio relates the side opposite the reference angle to the side adjacent to the reference angle. We have both of those measures already and do not have a need for the length of the hypotenuse since the tangent ratio doesn't use it. The tangent of the reference angle is -3/-5 which is 3/5.
Answer:
4*y^2 - 12*y
Step-by-step explanation:
4y(y-3) = 4y*y - 4y*3 = 4*(y^2) - 12*y
Answer:
11 terms.
Step-by-step explanation:
The exponent indicates how many time you will multiply 7 by itself.
F(f(x))
f(2x - 1)
2(2x-1) - 1
4x -2 -1
4x - 3
Answer:
y = 2x - 5
slope = 2
y-intercept = -5
Step-by-step explanation:
You first have to find out the slope.
m = 3 - (-5)/ 4 - 0 = 8/4 = 2
m = 2
slope is 2
y- intercept is -5 because the point (0, -5) crosses the y-axis
you can also find the y-intercept by plugging the slope in for m in the equation y = mx + b.
y = 2x + b
Now we use one of the points to solve for b. I'll use the point (4, 3). Plug in 4 for x and plug in 3 for y.
3 = 2(4) + b
3 = 8 + b
-8 -8
-5 = b
-5 is the y-intercept.